Highest Common Factor of 5837, 4803, 65669 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5837, 4803, 65669 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5837, 4803, 65669 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 5837, 4803, 65669 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 5837, 4803, 65669 is 1.

HCF(5837, 4803, 65669) = 1

HCF of 5837, 4803, 65669 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 5837, 4803, 65669 is 1.

Highest Common Factor of 5837,4803,65669 using Euclid's algorithm

Highest Common Factor of 5837,4803,65669 is 1

Step 1: Since 5837 > 4803, we apply the division lemma to 5837 and 4803, to get

5837 = 4803 x 1 + 1034

Step 2: Since the reminder 4803 ≠ 0, we apply division lemma to 1034 and 4803, to get

4803 = 1034 x 4 + 667

Step 3: We consider the new divisor 1034 and the new remainder 667, and apply the division lemma to get

1034 = 667 x 1 + 367

We consider the new divisor 667 and the new remainder 367,and apply the division lemma to get

667 = 367 x 1 + 300

We consider the new divisor 367 and the new remainder 300,and apply the division lemma to get

367 = 300 x 1 + 67

We consider the new divisor 300 and the new remainder 67,and apply the division lemma to get

300 = 67 x 4 + 32

We consider the new divisor 67 and the new remainder 32,and apply the division lemma to get

67 = 32 x 2 + 3

We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get

32 = 3 x 10 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5837 and 4803 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(67,32) = HCF(300,67) = HCF(367,300) = HCF(667,367) = HCF(1034,667) = HCF(4803,1034) = HCF(5837,4803) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 65669 > 1, we apply the division lemma to 65669 and 1, to get

65669 = 1 x 65669 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65669 is 1

Notice that 1 = HCF(65669,1) .

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Frequently Asked Questions on HCF of 5837, 4803, 65669 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 5837, 4803, 65669?

Answer: HCF of 5837, 4803, 65669 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5837, 4803, 65669 using Euclid's Algorithm?

Answer: For arbitrary numbers 5837, 4803, 65669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.